Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveStanding waveHard2 minPYQ_2020

PhysicsHardsingle choice

A metallic rod of length $1 m$ , Young's modulus $3 \times 10^{11} N m^{- 2}$ and density $7.5 \times 10^{2} kg m^{- 3}$ is clamped at its middle. Longitudinal stationary vibrations are produced in the rod with total number of displacement nodes equal to $3$ . The frequency of vibrations is

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Answer:

Solution:

$l = \frac{3 λ}{2} \Rightarrow λ = \frac{2 l}{3}$

$f = \frac{ν}{λ} = \frac{3 ν}{2 l} = \frac{3}{2 l} \sqrt{\frac{Y}{ρ}}$
$= \frac{3}{2 \times 1} \sqrt{\frac{3 \times 1 0^{11}}{\frac{3}{4} \times 1 0^{3}}} = \frac{3}{2} \sqrt{4 \times 1 0^{8}}$
$= \frac{3}{2} \times 2 \times 1 0^{4} H z$
= 30,000 Hz

Stream:JEESubject:PhysicsTopic:Sound WaveSubtopic:Standing wave

⏱ 2mℹ️ Source: PYQ_2020

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